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tatiyna
3 years ago
10

If I put a different sticker on the 30th, 50th, and 60th pages will any of the first 600 pages have all 3 stickers?

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

so the which page that will have the 3 sticker, we must solve the least common multiple of 30, 50, 60. A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ....

The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

so the least common multiple of 30, 50 and 60 is 300. so the page that will have 3 stickers is 300th page

Step-by-step explanation:

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Given f(x) = x² - 10x + 22, what is the range of f?
adoni [48]

Answer:

[-3, ∞)

Step-by-step explanation:

There are many ways to find the range but I will use the method I find the easiest.

First, find the derivative of the function.

f(x) = x² - 10x + 22

f'(x) = 2x - 10

Once you find the derivative, set the derivative equal to 0.

2x - 10 = 0

Solve for x.

2x = 10

x = 5

Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.

f(x) = x² - 10x + 22

f(5) = 5² - 10(5) + 22

      = 25 - 50 +22

      = -3

Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.

This means the range is : [-3, ∞)

Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).

Hope this helped!

6 0
3 years ago
a radio station had 234 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. how many tick
RSB [31]

Answer:

39 tickets were given to the employees

Step-by-step explanation:

1. Approach

First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.

2.Given

A total of 234 tickets were given away

5 times as many tickets were given away to listeners compared to employees

-Call the number of tickets given away to employees (x)

3. Form an equation

(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)

Substitute,

x + 5x = 234

Simplify,

6x + 234

Inverse operations,

6x = 234

/6      /6

x = 39

5 0
3 years ago
Please explain how do you get the answer. Also tell me am I correct or wrong.
Zigmanuir [339]
Your doing everything correctly 
3 0
3 years ago
Read 2 more answers
7x-4y=-7 5x+y=22 please show work
Keith_Richards [23]
What exactly are you finding 

3 0
3 years ago
If 1.6 cup of icing cover 2.3 of a cake then how much icing is need to cover the entire cake
Setler79 [48]
Mark me as brainliest! :)

1/6 * 3/2 = 1/4
5 0
3 years ago
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